Regulating synchronous states of complex networks by pinning interaction with an external node

Phys Rev E Stat Nonlin Soft Matter Phys. 2009 Dec;80(6 Pt 2):066111. doi: 10.1103/PhysRevE.80.066111. Epub 2009 Dec 14.

Abstract

To shed light on how biological and technological systems can establish or maintain a synchronous functioning, we address the problem of how to engineer an external pinning action on a network of dynamical units. In particular, we study the regulation of a network toward a synchronized behavior by means of a bidirectional interaction with an external node that leaves unchanged its inner parameters and architecture. We demonstrate that there are two classes of networks susceptible of being regulated into a synchronous motion and provide a simple method, for each one of them, to properly design a pinning sequence to achieve regulation. We also discuss how the obtained sequence can be compared with a topological ranking of the network nodes.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Algorithms
  • Biophysics / methods*
  • Computer Communication Networks
  • Computer Simulation
  • Models, Statistical
  • Neural Networks, Computer
  • Nonlinear Dynamics